Flux Scheme: A Method for General Non-Conservative Two-Fluid Systems

This paper is concerned with numerical modeling issues arising when using a flux scheme for the approximation of two-phase flows. The paper puts emphasis on a general treatment of boundary conditions and reports on the interaction between an upwind discretization of the source terms and the boundary states. An upwind source term treatment consistent with the advection scheme results on an improved accuracy. Numerical results are provided to illustrate the method.